At the same time the residual thermal conductivity value turns out to be smaller than it is in the normal state. The \(T\rightarrow 0\)  extrapolation of experimentally observed \(\kappa /T\)  reveals a negligibly small residual term [1]} that is obviously much smaller than the calculated (REF ) value.
This inconsistency apparently means that the superconducting state in UTe\(_2\)  is the state with zeros of the order parameter. In case of the thermal flux parallel to the direction on the first order point nodes of the order parameter the residual thermal conductivity is ( see the equation (22.47) in the book [2]})
\(\kappa _{||}\approx \left(\frac{\Gamma }{\Delta _0}\right)^2\kappa _{n}.\) 
